New Fixed Point Theorems with Applications to Non-Linear Neutral Differential Equations

被引：13
|
作者：
Alnaser, Laila A. [1 ]
Ahmad, Jamshaid [2 ]
Lateef, Durdana [1 ]
Fouad, Hoda A. [1 ,3 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, Al Madina Al Munawara 41411, Saudi Arabia
[2] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia
[3] Alexandria Univ, Fac Sci, Alexandria 21500, Egypt
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 05期
关键词：
nonlinear neutral differential equation; F-metric space; (alpha; phi) rational contraction; fixed point;
D O I：
10.3390/sym11050602
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The aim of this study is to investigate the existence of solutions for a non-linear neutral differential equation with an unbounded delay. To achieve our goals, we take advantage of fixed point theorems for self-mappings satisfying a generalized (phi) rational contraction, as well as cyclic contractions in the context of F-metric spaces. We also supply an example to support the new theorem.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] Fixed point theorems in b-metric spaces with applications to differential equations
    Huaping Huang
    Guantie Deng
    Stojan Radenović
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [22] Fixed point theorems in b-metric spaces with applications to differential equations
    Huang, Huaping
    Deng, Guantie
    Radenovic, Stojan
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [23] Some fixed point theorems via measure of noncompactness with applications to differential equations
    Shahram Banaei
    Mohammad Mursaleen
    Vahid Parvaneh
    Computational and Applied Mathematics, 2020, 39
  • [24] Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations
    Nashine, Hemant Kumar
    Vetro, Calogero
    Kumam, Wiyada
    Kumam, Poom
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [25] Some fixed point theorems via measure of noncompactness with applications to differential equations
    Banaei, Shahram
    Mursaleen, Mohammad
    Parvaneh, Vahid
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [26] Fixed Point Theorems Over Extended (φ, ψ)-Metric Spaces and Applications in Differential Equations
    Taleb, Mohammed M. A.
    Al-Salehi, Saeed A. A.
    Borkar, V. C.
    JOURNAL OF FUNCTION SPACES, 2024, 2024
  • [27] OSCILLATION THEOREMS CONCERNING NON-LINEAR DIFFERENTIAL EQUATIONS OF THE SECOND ORDER
    Elabbasy, E. M.
    Elzeiny, Sh. R.
    OPUSCULA MATHEMATICA, 2011, 31 (03) : 373 - 391
  • [28] PERTURBATION THEOREMS FOR NON-LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
    ATHANASSOV, ZS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 86 (01) : 194 - 207
  • [29] MAPPING AND FIXED-POINT THEOREMS FOR NON-LINEAR OPERATORS IN BANACH SPACES
    WEBB, JRL
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 20 : 451 - &
  • [30] SHARP FIXED-POINT THEOREMS AND NON-LINEAR STURM - LIOUVILLE PROBLEMS
    APPELL, J
    LECTURE NOTES IN MATHEMATICS, 1983, 1017 : 38 - 42
12345